Linear Equations in One Variable
Equation
Two expressions set equal to each other
Linear Equation
An equation that can be written in the form
ax + b = 0
where a and b are constants
The following is an example of a linear equation:
Solution
A value, such that, when you replace the variable with it, it makes the equation true.
(the left side comes out equal to the right side)
Solving a Linear Equation
in General
Get the variable you are solving for alone on one side and
everything else on the other side using INVERSE operations.
The following will give us the tools that we need to solve linear equations.
Addition and Subtraction Properties of Equality
If a = b, then a + c = b + c
If a = b, then a - c = b - c
Multiplication and Division Properties of Equality
If a = b, then a(c) = b(c)
If a = b, then a/c = b/c where c is not equal to 0.